VEDIC MATHS-102

 

VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friends,

                      This is  post number 102 from the series of "Vedic maths" blogs. Here in this blog we will learn about "Applications of the Sutras & Sub-sutras - 2"

VEDIC MATHEMATIC :

"VEDIC MATHEMATICS" is the name given to the ancient system of mathematics, or, to be precise, a unique technique of calculations based on simple rules and principles, with which any mathematical problem be it arithmetic, algebra, geometry or trigonometry can be solved, hold your breath, orally!

What we call "Vedic Mathematics" is a mathematical elaboration of 'Sixteen Simple Mathematical formulae from the Vedas' as brought out by Sri Bharati Krishna Tirthaji.

Sutras: 

The system is based on 16 Vedic sutras or aphorisms, which are actually word formulae describing natural ways of solving a whole range of problems.

Some examples of sutras are "By one more than the one before", "All from 9 & the last from 10", and "Vertically & Crosswise". These 16 one-line formulae originally written in Sanskrit, which can be easily memorized, enables one to solve long mathematical problems quickly.

3. Urdva – Triyagbhyam ( Vertically and crosswise )

For multiplication of any two two-digit numbers,

• Step 1: Multiply the last digit
• Step 2: Multiply numbers diagonally and add them.
• Step 3: Place Step 1 at the end and Step 2 at the beginning.
• Step 4: Multiply the first digit of both the number and put it at the most beginning.
• Step 5: For the result, more than 2 or more digits, add the beginning digits to the beginning numbers.

For example :

Example : 23 x 41 = ?
2 x 4 = 8
(2 x 1) + (3 x 4) = 2 + 12 = 14
3 x 1 = 3
23 x 41 = 8 | 14 | 3 = 8 | 143 = 8 + 1 | 43 = 9 | 43 = 943

Example II : 23 x 34 = ?
4 x 3 = 12
(2 x 4) + (3 x 3) = 17
2 x 3 = 6
23 x 34 = 6 | 17 |  12 = 6 | 182 =  782

Example III : 33 x 44 = ?
3 x 4 = 12
(3 x 4) + (3 x 4) = 12 + 12 = 24
3 x 4 = 12
33 x 44 = 12 | 24 | 12 = 12 | 252 = 1452

( For  more information refer -: VEDIC MATHS-19 )

4. Paraavartya Yojayet ( Transpose and adjust ) 

For dividing large numbers by number greater than 10. For example 3784 divided by 12.

Step 1: Write the negative of the last number of the divisor under the dividend.

12

-2

Step 2: Separate the last digit of the dividend from the rest to calculate the remainder.

378  4

Step 3: Multiply the first digit with the above result i.e., -2.

3 x (-2) = -6

Step 4: Add the second digit with the result and continue till the last.

378  4 = 3 (7-6) 8  4 = 31 (8-2)  4 = 316  (4-12) = 315 (14 – 10)

Result: Quotient = 315 and Remainder = 4

( For  more information refer -: VEDIC MATHS-48 )

In next blog we will discuss about "Applications of the Sutras & Sub-sutras - 3".     

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